Search a number
-
+
4275360 = 253252969
BaseRepresentation
bin10000010011110010100000
322001012200200
4100103302200
52043302420
6231345200
751224415
oct20236240
98035620
104275360
112460161
121522200
13b68ccb
147d410c
15596b90
hex413ca0

4275360 has 72 divisors (see below), whose sum is σ = 14594580. Its totient is φ = 1139712.

The previous prime is 4275353. The next prime is 4275371. The reversal of 4275360 is 635724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 725904 = 1884^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 2924.

Almost surely, 24275360 is an apocalyptic number.

4275360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297290).

4275360 is an abundant number, since it is smaller than the sum of its proper divisors (10319220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4275360 is a wasteful number, since it uses less digits than its factorization.

4275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4275360 is about 2067.6943681308. The cubic root of 4275360 is about 162.3021339221.

The spelling of 4275360 in words is "four million, two hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2969 5938 8907 11876 14845 17814 23752 26721 29690 35628 44535 47504 53442 59380 71256 89070 95008 106884 118760 133605 142512 178140 213768 237520 267210 285024 356280 427536 475040 534420 712560 855072 1068840 1425120 2137680 4275360